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emmainna [20.7K]
3 years ago
13

Y = 2x – 2 y = x - 1

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

x = 1 , y = 0

Step-by-step explanation:

Solve the following system:

{y = 2 x - 2 | (equation 1)

y = x - 1 | (equation 2)

Express the system in standard form:

{-(2 x) + y = -2 | (equation 1)

-x + y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{-(2 x) + y = -2 | (equation 1)

0 x+y/2 = 0 | (equation 2)

Multiply equation 2 by 2:

{-(2 x) + y = -2 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

{-(2 x)+0 y = -2 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by -2:

{x+0 y = 1 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 1 , y = 0

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